Momentum Eigensolutions of Feinberg-Horodecki Equation with Time-Dependent Screened Kratzer-Hellmann Potential

Abstract

We obtain an approximate value of the quantized momentum eigenvalues, n P , together with the space-like coherent eigenvectors for the space-like counterpart of the Schrödinger equation, the Feinberg-Horodecki equation, with a screened Kratzer-Hellmann potential which is constructed by the temporal counterpart of the spatial form of this potential. In addition, we got exact eigenvalues of the momentum and the eigenstates by solving Feinberg-Horodecki equation with Kratzer potential. The present work is illustrated with three special cases of the screened Kratzer-Hellman potential: the time-dependent screened Kratzer potential, time-dependent Hellmann potential and, the time-dependent screened Coulomb potential.

Fisher information of a vector potential for time‐dependent Feinberg–Horodecki equation

“…The results went further to interpret the formation of the specific growth patterns during the crystallization process and biological growth [3]. Other results of Fienberg–Horodecki equation recently obtained are Fienberg–Horodecki equation for time‐dependent mass distribution harmonic oscillator quantum system with a certain interaction applied to a mass distribution m ( t ) to provide a particular spectrum of stationary energies [7], exact bound state solutions of the Feinberg–Horodecki equation with rotating time‐dependent Deng–Fan oscillator potential by means of parametric NU method was obtained by Hamzavi et al [8], approximate solution of the time‐dependent Kratzer plus screened Coulomb potential in Feinberg–Horodecki equation [9], Feinberg–Horodecki equation with corresponding author's email: Pӧschl–Teller potential: Space‐like coherent states [10], exact solutions of Feinberg–Horodecki equation for time‐dependent Tietz–Wei diatomic molecular potential [11], exact solutions of the Feinberg–Horodecki equation for time‐dependent Wei–Hua oscillator and Manning–Rosen potentials by the Nikiforov–Uvarov method [12], Feinberg–Horodecki exact momentum states of improved deformed exponential‐type potential [13], Exact quantized momentum eigenvalues and eigenstates of a general potential model [14], momentum eigensolutions of Feinberg–Horodecki equation with time‐dependent screened Kratzer–Hellmann potential [15]. In all the studies/reports, it is noted that the grate Fienberg–Horodecki equation has not been studied in the domain of theoretic quantities which relates the quantized momentum to quantities such as Fisher information, Entopic systems, information energy and variance.…”

Feinberg-Horodecki exact momentum states of improved deformed exponential-type potential

“…where σ(s) and σ(s) are polynomials, at most second-order, and τ (s) is of a first-order polynomial. To follow the method in details the reader is advised to follow [31,28,29,30]. The eigenvalues equation can be found simply by solving the equations ( 29) and (30).…”

Energy and momentum eigenspectrum of the Hulthén-screened cosine Kratzer potential using proper quantization rule and SUSYQM method

“…Recently in 2020, Farout et al [53] obtained the quantized momentum solution of the FH equation with general potential model using NU method. In July 2020, Farout and Ikhdair, solved the FH equation with the time-dependent screened Kratzer-Hellmann potential model [54] and obtained the approximated eigensolutions of momentum states. In August 2020, Farout et al [55] obtained the quantized momentum eigenvalues with space-like coherent eigenstates using FH equation with the Kratzer potential plus screened coulomb potential.…”